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2940263424 = 210327217383
BaseRepresentation
bin1010111101000000…
…1101110000000000
321120220121212011100
42233100031300000
522010201412144
61203432014400
7132601553400
oct25720156000
97526555140
102940263424
11127977a47a
126a0831400
1337b1ca457
141dc6d6800
151231e4269
hexaf40dc00

2940263424 has 396 divisors, whose sum is σ = 10484308224. Its totient is φ = 788594688.

The previous prime is 2940263387. The next prime is 2940263437. The reversal of 2940263424 is 4243620492.

2940263424 is a `hidden beast` number, since 294 + 0 + 26 + 342 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676737 + ... + 7677119.

Almost surely, 22940263424 is an apocalyptic number.

2940263424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242154112).

2940263424 is an abundant number, since it is smaller than the sum of its proper divisors (7544044800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2940263424 is a wasteful number, since it uses less digits than its factorization.

2940263424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2940263424 is about 54224.1959276484. The cubic root of 2940263424 is about 1432.6125361368.

The spelling of 2940263424 in words is "two billion, nine hundred forty million, two hundred sixty-three thousand, four hundred twenty-four".